3 papers
math.SG2026
Extremal Lagrangian tori in toric domains
Shah Faisal
Let be a closed Lagrangian submanifold of a symplectic manifold . Cieliebak and Mohnke define the symplectic area of as the minimal positive symplectic area of a sm…
math.SG2026
Stabilized symplectic embeddings of higher-dimensional ellipsoids
Shah Faisal
We provide a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids, formulated in terms of the Lagrangian capacity of ellipsoids. Our approach relies o…
math.SG2024
A proof of Gromov's non-squeezing theorem
Shah Faisal
The original proof of the Gromov's non-squeezing theorem [Gro85] is based on pseudo-holomorphic curves. The central ingredient is the compactness of the moduli space of pseudo-holo…